Blow-up vs. spurious steady solutions |
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Authors: | Juliá n Ferná ndez Bonder Julio D Rossi |
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Institution: | Departamento de Matemática, F.C.E y N., UBA, (1428) Buenos Aires, Argentina ; Departamento de Matemática, F.C.E y N., UBA, (1428) Buenos Aires, Argentina |
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Abstract: | In this paper, we study the blow-up problem for positive solutions of a semidiscretization in space of the heat equation in one space dimension with a nonlinear flux boundary condition and a nonlinear absorption term in the equation. We obtain that, for a certain range of parameters, the continuous problem has blow-up solutions but the semidiscretization does not and the reason for this is that a spurious attractive steady solution appears. |
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Keywords: | Blow-up semidiscretization spurious solutions |
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